Given: A sector with a central angle-
[tex]\theta=\frac{\pi}{12}\text{ radians}[/tex]
And the radius of 4 units.
Required: To determine the area of the sector.
Explanation: The area of the sector is given by the formula-
[tex]Area=\frac{1}{2}\theta r^2[/tex]
Substituting the values into the formula as-
[tex]\begin{gathered} Area=\frac{1}{2}(\frac{\pi}{12})(4^2) \\ =\frac{2\pi}{3}\text{ sq units} \end{gathered}[/tex]
Final Answer: The area of the sector is-
[tex]\frac{2\pi}{3}[/tex]
